Question: A stress tensor in two dimensions has the following components at a given point: (tau_{x, x}=3), (tau_{x, y}=2), and (tau_{y, y}=2). Find the stress vector

A stress tensor in two dimensions has the following components at a given point: \(\tau_{x, x}=3\), \(\tau_{x, y}=2\), and \(\tau_{y, y}=2\). Find the stress vector on a plane that is inclined at an angle of \(60^{\circ}\) with the \(x\)-axis. The plane is located at the same point where the stress tensor has the above reported values.

Repeat for a plane oriented at \(45^{\circ}\).

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